416356920 has 144 divisors (see below), whose sum is σ = 1574150760. Its totient is φ = 95163264.

The previous prime is 416356901. The next prime is 416356949. The reversal of 416356920 is 29653614.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5839 + ... + 29441.

Almost surely, 2^416356920 is an apocalyptic number.

416356920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 416356920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (787075380).

416356920 is an abundant number, since it is smaller than the sum of its proper divisors (1157793840).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

416356920 is a wasteful number, since it uses less digits than its factorization.

416356920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23634 (or 23620 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 416356920 is about 20404.8258997718. The cubic root of 416356920 is about 746.7156651873.

The spelling of 416356920 in words is "four hundred sixteen million, three hundred fifty-six thousand, nine hundred twenty".